• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.18 no.3
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• pp.305-313
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• 2000

The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking. the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, mathematical model for a searching examination the drawbacks of the current methods is presented. Also, the presented formular, the spot height method, and chamber formulas, chen and lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of a proposal area formula by spline method should provide a better accuracy than the spot height method, chamber formulas, chen and lin method. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

• Herbal Formula Science
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• v.19 no.1
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• pp.131-144
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• 2011

Objectives : The objective of this study lies in theoretical establishment of formulas for invigorating five viscera for curing the asthenic syndrome of five viscera through analyzing the component medicines and combination principles of Hyeongok's formulas for invigorating five viscera, and furthermore, maximizing the clinical use of them. Methods : This study analyzed the component medicines and combination principles of Hyeongok's formulas for invigorating five viscera based on the theory for properties and tastes of herbal medicines from the "Yellow Emperor's Canon of Internal Medicine", the theory for principal herbal medicine, assistant herbal medicine, adjuvant herbal medicine, dispatcher herbal medicine, and the five elements doctrine. Hyeongok's formulas for invigorating five viscera are Bogantang, Boseemtang, Bobeetang, Bopyeotang, and Boshintang. Results : There are three methods for curing the asthenic syndrome of five viscera according to the five elements doctrine: in case of Bogantang invigorating the liver, invigorating the kidney and purging the lung; Boseemtang, invigorating the heart, invigorating the liver and purging the kidney; Bobeetang, invigorating the spleen, invigorating the heart and purging the liver; Bopyeotang, invigorating the lung, invigorating the spleen and purging the heart; Boshintang, invigorating the kidney, invigorating the lung and purging the spleen. Conclusions : First, to cure the asthenic syndrome of five viscera, the methods of invigorating five viscera, and purging five viscera should be used according to the five elements doctrine. Secondly, herbal medicines appropriate for those treatment methods should be chosen according to the theory for properties and tastes of herbal medicine and thirdly, the combination of those herbal medicines should be carried out according to the theory for principal herbal medicine, assistant herbal medicine, adjuvant herbal medicine, dispatcher herbal medicine. As a good example, Hyeongok's formulas for invigorating five viscera are combined according to the above theories. In conclusion, this formula was created by applying to the theory for properties and tastes of herbal medicines.

• Herbal Formula Science
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• v.18 no.2
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• pp.53-76
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• 2010

This report describes 173 formulas related to which are mainly used Paeoniae Radix in Dongeuibogam. The following conclusions were induced through investigations on the formulas that are used Paeoniae Radix as a main component. 1. We found the formulas in Dongeuibogam that Paeoniae Radix is used as a main ingredient in each prescriptions. 22 times(12.4%) of them are recorded in women's disease chapter, 20 times(11.3%) are in feces chapter, 14 times(7.9%) are in uterus, 12 times(6.8%) are in wind chapter, 10 times(5.6%) are in fatigue chapter, 9 times(5.1%) are in blood chapter, which are arranged in order of frequency. 2. Formulas that utilize Paeoniae Radix as the main ingredient are used in the treatment of women's disease, diarrhea, paralysis, yin and yang-deficiency syndrome. They are also used for treating 117 different types of diseases. 3. The dosage of Paeoniae Radix in formulas is from 1 don(nearly 3.75g) to 1 nyang 5 don (nearly 56.25g), however 1 don has been taken the most for clinical application. 4. Paeoniae Radix can make various effects with other ingredient, like fulfilling yin and blood, relaxing muscles and allaying pain. And this can be found in the formulas such as Samultang(四物湯), Jakyackgamchotang(芍藥甘草湯), Sambaektang(三白湯).

• Mycobiology
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• v.43 no.4
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• pp.423-434
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• 2015

The study was conducted to compare the effects of different agro-wastes on the growth, yield, and nutritional composition of oyster mushrooms Pleurotus ostreatus (PO) and Pleurotus cystidiosus (PC). Seven substrate formulas including sawdust (SD), corncob (CC), sugarcane bagasse (SB) alone and in combination of 80 : 20, 50 : 50 ratio between SD and CC, SD and SB were investigated. The results indicated that different substrate formulas gave a significant difference in total colonization period, characteristics of fruiting bodies, yield, biological efficiency (BE), nutritional composition and mineral contents of two oyster mushrooms PO and PC. The results showed that increasing CC and SB reduced C/N ratio, and enhanced some mineral contents (Ca, P, and Mg) of substrate formulas. The increased amount of CC and SB of substrate formulas enhanced protein, ash, mineral contents (Ca, K, Mg, Mn, and Zn) of fruiting bodies of both mushrooms. Substrates with 100% CC and 100% SB were the most suitable substrate formulas for cultivation of oyster mushrooms PO and PC in which they gave the highest values of cap diameter, stipe thickness, mushroom weight, yield, BE, protein, fiber, ash, mineral content (Ca, K, and Mg) and short stipe length. However, substrate formula 100% CC gave the slowest time for the first harvest of both mushrooms PO and PC (46.02 days and 64.24 days, respectively). It is also found that the C/N ratio of substrate formulas has close correlation with total colonization period, mushroom weight, yield, BE and protein content of mushroom PO and PC.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.25 no.10A
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• pp.1566-1575
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• 2000

This paper studies mismatched scalar quantization of a generalized gamma source by a quantizer that is optimally (in the mean square error sense) designed for another generalized gamma source. Specifically, it considers variance-mismatched quantization which occurs when the variance of the source to be quantized differs from tat of the designed-for source. The main result is the two distortion formulas derived from Bennett's integral. The first formula is an approximation expression that uses the outermost threshold of an optimum scalar quantizer, and the second formula, in turn, uses an approximation formula for this outermost threshold. Numerical results are obtained for Laplacian sources, which are example of a generalized gamma source, and comparisons are made between actual mismatched distortions and the two formulas. These numerical results show that the two formulas become more accurate, as the number of quantization points gets larger and the ratio of the source variance to that of the designed-for source gets bigger. For example, the formulas are within 2~4% of the actual distortion for approximately 64 quantization points or more. In conclusion, the proposed approximation formulas are considered to have contribution as closed formulas and for their accuracy.

• The Journal of Korean Medicine
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• v.42 no.4
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• pp.10-24
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• 2021

Objectives: Yongdamsagan-tang (YST) and Paljung-san (PJS) in traditional medicine and finasteride in modern medicine are used to treat benign prostatic hyperplasia (BPH). In recent, the use of combination herbal remedies with conventional drugs has been increasing. Therefore, we investigated the anti-inflammatory effects of these drugs to treat BPH and the influence of herbal formulas on finasteride metabolism. Methods: The inhibitory effects of the herbal formulas and finasteride on the production of inflammatory mediators and cytokines were determined in lipopolysaccharide (LPS)-treated RAW 264.7 cells. Additionally, the influence of herbal formulas on activities of human drug metabolizing enzymes (DMEs) was assessed using human microsomal enzymes. Results: We observed that YST, PJS and finasteride inhibited the production of nitric oxide (NO), prostaglandin E₂ (PGE₂) and interleukin-6 (IL-6) in RAW 264.7 cells. The half maximal inhibitory concentration (IC₅₀) of YST on PGE₂ production was calculated to be below 25 ㎍/mL. YST inhibited the activity of uridine diphosphate-glucuronosyltransterase (UGT) 1A4 with an IC₅₀ value of 49.35 ㎍/mL. The activities of cytochrome P450 (CYP) 1A2, CYP2B6, CYP2C19, CYP3A4, and UGT1A1 were inhibited by PJS (IC₅₀ < 100 ㎍/mL, each). Although PJS and YST inhibited the activities of CYP3A4 and UGT1A4, respectively, these formulas may not influence the metabolism of finasteride because the IC₅₀ values of herbal formulas on DMEs are too high to affect metabolism. Conclusions: Our results suggest that the combination of finasteride and YST or PJS might not influence their drug metabolism and that the drugs may have synergistic effects against BPH.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.809-822
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• 1999

In this paper, we introduce conditional Yeh-Wiener in-tegrals for generalized conditioning functions including vector-valued functions. And also we establish various evaluation formulas of conditional Yeh-Wiener integrals for generalized conditioning functions.

• Journal of applied mathematics & informatics
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• v.34 no.5_6
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• pp.443-450
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• 2016

In this paper we give some properties, explicit formulas, several identities, a connection with tangent numbers and polynomials, and some integral formulas.

• Communications of the Korean Mathematical Society
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• v.21 no.1
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• pp.17-25
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• 2006

In this paper, we study the right regular representation $R_\Gamma$ of a finite group G on the vector space consisting of vector valued functions on ${\Gamma}/G$ with a subgroup r of G and give a trace formula using the work of M. -F. Vigneras.

• East Asian mathematical journal
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• v.31 no.1
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• pp.135-144
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• 2015

In this paper we establish several formulas for multiple integral transform of functionals defined on abstract Wiener space. We then use the these results to establish several basic formulas involving multiple convolution products.